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Finding the Fourth Proportional to 15,622.54, 21,569.06 and 9,657.65

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Solution

The fourth proportional to 15,622.54, 21,569.06 and 9,657.65 is: 13,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,622.54 : 21,569.06 = 9,657.65 : x
  2. Step 2: Convert to fraction form
    15,622.54/21,569.06 = 9,657.65/x
  3. Step 3: Cross multiply
    15,622.54x = 21,569.06 × 9,657.65
  4. Step 4: Simplify right side
    15,622.54x = 208,306,510.38
  5. Step 5: Solve for x
    x = 208,306,510.38/15,622.54
  6. Step 6: Final answer
    x = 13,333.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.